Answer:
d) Good, the interval is related to the variable of interest and the population mean analyzed.
Step-by-step explanation:
1) Data given
[tex]\bar x = 23[/tex] represent the mean
[tex]ME=2[/tex] represent the margin of error
[tex]confidence=95\%=0.05[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\bar x \pm ME = 23\pm 3=(21,25)[/tex]
Where the margin of error is given by [tex]ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]
Based on the interval obtained we can say that "we have 95% of confidence that the mean winter snowfall would be between 21 and 25"
2) Analyze the possible options
a) Wrong, we are not analyzing the individual winters, the interval is related to the population mean.
b) Wrong, the confidence interval can't be interpreted as a chance that are not related to the population mean of interest.
c) Wrong, the confidence interval is not related to the individual days of winter.
d) Good, the interval is related to the variable of interest and the population mean analyzed.
e) Wrong, the confidence interval is not related to specific events, is related to the population mean.